Alienation of the Set-Valued Drygas-Additive and Quadratic-Additive Functional Equations

Alienation of the Set-Valued Drygas-Additive and Quadratic-Additive Functional Equations

Consider $Y$ as a real Hausdorff topological vector space and $(G,+)$ as a  Abelian group  uniquely divisible by 2. In this paper, the solutions and stability of the Pexiderized set-valued functional equations\begin{align*}    f(x+y)+f(x-y)+g(x+y)&=2f(x)+f(y)+f(-y)+g(x)\\    & \quad +g(y), \...

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Bibliographic Details
Main Authors: Elham Mohammadi, Abbas Najati, Iz-iddine EL-Fassi
Format: Article
Language:English
Published: University of Maragheh 2025-01-01
Series:Sahand Communications in Mathematical Analysis
Subjects:
set-valued function
quadratic function
drygas function
hukuhara difference
Online Access:https://scma.maragheh.ac.ir/article_718213_9441bbb4217e2899c9e4d9aa9dec391c.pdf
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Summary:Consider $Y$ as a real Hausdorff topological vector space and $(G,+)$ as a  Abelian group  uniquely divisible by 2. In this paper, the solutions and stability of the Pexiderized set-valued functional equations\begin{align*}    f(x+y)+f(x-y)+g(x+y)&=2f(x)+f(y)+f(-y)+g(x)\\    & \quad +g(y), \\    f(x+y)+f(x-y)+g(x+y)&=2f(x)+2f(y)+g(x)+g(y),\end{align*}are investigated, where $f$ and $g$ are unknown functions  from $G$ to $cc(Y)$.
ISSN:2322-5807
2423-3900

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